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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 388815.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.y1 | 388815y1 | \([1, 1, 1, -33218060, -74139298360]\) | \(-156384878308301503451521/1072349646326296875\) | \(-27796375182423941296875\) | \([]\) | \(38085120\) | \(3.1409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388815.y do not have complex multiplication.Modular form 388815.2.a.y
sage: E.q_eigenform(10)